AbstractLet F be the function field with constant field Fq, and let EF be the multiple Kummer extension. We investigate how prime divisors of F spilt in E, and determine the genus of EFq. As an application of this theory we discuss the number of primes of degree one in function fields
AbstractKummer introduced a theory to prove the Kummer's criterion. This theory is constructed of th...
ABSTRACT Let A C B be an extension of Dedekmd domams for which the corresponding extension of fields...
AbstractKummer introduced a theory to prove the Kummer's criterion. This theory is constructed of th...
AbstractLet F be the function field with constant field Fq, and let EF be the multiple Kummer extens...
AbstractIn this paper, we give a definition of genus field of function field with one variable over ...
In this paper we prove results on the number of rational places in extensions of Kummer type ove...
AbstractIn this paper we prove results on the number of rational places in extensions of Kummer type...
AbstractLet k be a global function field over the field Fq where q = pm and let ∞ be a fixed prime o...
In this thesis, we give two simple and effective methods for constructing Kummer extensions of algeb...
AbstractFor a prime numberp, let Fpbe the finite field of cardinalitypandX=Xpa fixed indeterminate. ...
AbstractLet k be a global function field over the field Fq where q = pm and let ∞ be a fixed prime o...
Let K/Fq be an algebraic function field with full constant field Fq and genus g. Then the divisor cl...
AbstractLet k be a rational function field over a finite field. Carlitz and Hayes have described a f...
Let K be a finite field or a finite extension of Qp for some prime number p. If G is a finitely gene...
AbstractAn algebraic approach to finding an upper bound for the number of places of degree one is pr...
AbstractKummer introduced a theory to prove the Kummer's criterion. This theory is constructed of th...
ABSTRACT Let A C B be an extension of Dedekmd domams for which the corresponding extension of fields...
AbstractKummer introduced a theory to prove the Kummer's criterion. This theory is constructed of th...
AbstractLet F be the function field with constant field Fq, and let EF be the multiple Kummer extens...
AbstractIn this paper, we give a definition of genus field of function field with one variable over ...
In this paper we prove results on the number of rational places in extensions of Kummer type ove...
AbstractIn this paper we prove results on the number of rational places in extensions of Kummer type...
AbstractLet k be a global function field over the field Fq where q = pm and let ∞ be a fixed prime o...
In this thesis, we give two simple and effective methods for constructing Kummer extensions of algeb...
AbstractFor a prime numberp, let Fpbe the finite field of cardinalitypandX=Xpa fixed indeterminate. ...
AbstractLet k be a global function field over the field Fq where q = pm and let ∞ be a fixed prime o...
Let K/Fq be an algebraic function field with full constant field Fq and genus g. Then the divisor cl...
AbstractLet k be a rational function field over a finite field. Carlitz and Hayes have described a f...
Let K be a finite field or a finite extension of Qp for some prime number p. If G is a finitely gene...
AbstractAn algebraic approach to finding an upper bound for the number of places of degree one is pr...
AbstractKummer introduced a theory to prove the Kummer's criterion. This theory is constructed of th...
ABSTRACT Let A C B be an extension of Dedekmd domams for which the corresponding extension of fields...
AbstractKummer introduced a theory to prove the Kummer's criterion. This theory is constructed of th...
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